Question

1. solve the inequality: |x| > 7

a. -7 < x < 2
b. x > 7 or x < -7
c. x > 9 or x < -9
d. x < -7 or x > 2

Explanation:

Step1: Recall absolute value inequality rule

For \(|x| > a\) (where \(a>0\)), the solution is \(x > a\) or \(x < -a\).

Step2: Apply the rule to \(|x| > 7\)

Here, \(a = 7\), so the solution is \(x > 7\) or \(x < -7\).

Answer:

B. \(x > 7\) or \(x < -7\)